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Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays

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Abstract

This study deals with the problem of exponential synchronization and state estimation for singularly perturbed complex networks (SPCNs) with coupling delay under sampled-data control technique. Every node of the SPCNs involve both ‘fast’ and ‘slow’ dynamics that reveals the singular perturbation behavior. By constructing novel Lyapunov functional and by using Kronecker product, some adequate conditions which assure the exponential synchronization are attained in the form of linear matrix inequalities. Moreover, the exponential state estimation problem for the SPCNs are also considered and the state estimator is designed. Lastly, numerical simulations are presented to validate the advantage of the propound theoretical results.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, Tamilnadu, 641 046, India

    R. Rakkiyappan & K. Sivaranjani

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  1. R. Rakkiyappan
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  2. K. Sivaranjani
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Correspondence to R. Rakkiyappan.

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Rakkiyappan, R., Sivaranjani, K. Sampled-data synchronization and state estimation for nonlinear singularly perturbed complex networks with time-delays. Nonlinear Dyn 84, 1623–1636 (2016). https://doi.org/10.1007/s11071-015-2592-1

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  • DOI: https://doi.org/10.1007/s11071-015-2592-1

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